Worldline construction of a covariant chiral kinetic theory
Abstract
Here, we discuss a novel worldline framework for computations of the chiral magnetic effect (CME) in ultrarelativistic heavy-ion collisions. Starting from the fermion determinant in the QCD effective action, we show explicitly how its real part can be expressed as a supersymmetric worldline action of spinning, colored, Grassmannian particles in background fields. Restricting ourselves for simplicity to spinning particles, we demonstrate how their constrained Hamiltonian dynamics arises for both massless and massive particles. In a semiclassical limit, this gives rise to the covariant generalization of the Bargmann-Michel-Telegdi equation; the derivation of the corresponding Wong equations for colored particles is straightforward. In a previous paper [N. Mueller and R. Venugopalan, arXiv:1701.03331.], we outlined how Berry’s phase arises in a nonrelativistic adiabatic limit for massive particles. We extend the discussion here to systems with a finite chemical potential. We discuss a path integral formulation of the relative phase in the fermion determinant that places it on the same footing as the real part. We construct the corresponding anomalous worldline axial-vector current and show in detail how the chiral anomaly appears. Our work provides a systematic framework for a relativistic kinetic theory of chiral fermions in the fluctuating topological backgrounds that generate themore »
- Authors:
-
- Heidelberg Univ. (Germany). Inst. for Theoretische Physik
- Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
- OSTI Identifier:
- 1413921
- Alternate Identifier(s):
- OSTI ID: 1373136
- Report Number(s):
- BNL-114418-2017-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: KB0301020; KB0301020; TRN: US1800583
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Mueller, Niklas, and Venugopalan, Raju. Worldline construction of a covariant chiral kinetic theory. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.016023.
Mueller, Niklas, & Venugopalan, Raju. Worldline construction of a covariant chiral kinetic theory. United States. doi:10.1103/PhysRevD.96.016023.
Mueller, Niklas, and Venugopalan, Raju. Thu .
"Worldline construction of a covariant chiral kinetic theory". United States. doi:10.1103/PhysRevD.96.016023. https://www.osti.gov/servlets/purl/1413921.
@article{osti_1413921,
title = {Worldline construction of a covariant chiral kinetic theory},
author = {Mueller, Niklas and Venugopalan, Raju},
abstractNote = {Here, we discuss a novel worldline framework for computations of the chiral magnetic effect (CME) in ultrarelativistic heavy-ion collisions. Starting from the fermion determinant in the QCD effective action, we show explicitly how its real part can be expressed as a supersymmetric worldline action of spinning, colored, Grassmannian particles in background fields. Restricting ourselves for simplicity to spinning particles, we demonstrate how their constrained Hamiltonian dynamics arises for both massless and massive particles. In a semiclassical limit, this gives rise to the covariant generalization of the Bargmann-Michel-Telegdi equation; the derivation of the corresponding Wong equations for colored particles is straightforward. In a previous paper [N. Mueller and R. Venugopalan, arXiv:1701.03331.], we outlined how Berry’s phase arises in a nonrelativistic adiabatic limit for massive particles. We extend the discussion here to systems with a finite chemical potential. We discuss a path integral formulation of the relative phase in the fermion determinant that places it on the same footing as the real part. We construct the corresponding anomalous worldline axial-vector current and show in detail how the chiral anomaly appears. Our work provides a systematic framework for a relativistic kinetic theory of chiral fermions in the fluctuating topological backgrounds that generate the CME in a deconfined quark-gluon plasma. Finally, we outline some further applications of this framework in many-body systems.},
doi = {10.1103/PhysRevD.96.016023},
journal = {Physical Review D},
number = 1,
volume = 96,
place = {United States},
year = {2017},
month = {7}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 19 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Path integral for gauge theories with fermions
journal, May 1980
- Fujikawa, Kazuo
- Physical Review D, Vol. 21, Issue 10
Event-by-event generation of electromagnetic fields in heavy-ion collisions
journal, April 2012
- Deng, Wei-Tian; Huang, Xu-Guang
- Physical Review C, Vol. 85, Issue 4
Small- Asymptotics of the Quark Helicity Distribution
journal, January 2017
- Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.
- Physical Review Letters, Vol. 118, Issue 5
Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
journal, October 2014
- Manuel, Cristina; Torres-Rincon, Juan M.
- Physical Review D, Vol. 90, Issue 7
Hamiltonian interpretation of anomalies
journal, March 1985
- Nelson, Philip; Alvarez-Gaumé, Luis
- Communications in Mathematical Physics, Vol. 99, Issue 1
Field theory without Feynman diagrams: One-loop effective actions
journal, October 1992
- Strassler, Matthew J.
- Nuclear Physics B, Vol. 385, Issue 1-2
The sphaleron rate in SU(N) gauge theory
journal, February 2011
- Moore, Guy D.; Tassler, Marcus
- Journal of High Energy Physics, Vol. 2011, Issue 2
Worldline path integrals for fermions with general couplings
journal, May 1996
- D'Hoker, Eric; Gagné, Darius G.
- Nuclear Physics B, Vol. 467, Issue 1-2
Supersymmetry and the Atiyah-Singer index theorem
journal, June 1983
- Alvarez-Gaumé, Luis
- Communications in Mathematical Physics, Vol. 90, Issue 2
Chiral Plasma Instabilities
journal, August 2013
- Akamatsu, Yukinao; Yamamoto, Naoki
- Physical Review Letters, Vol. 111, Issue 5
Quantum anomaly and geometric phase: Their basic differences
journal, January 2006
- Fujikawa, Kazuo
- Physical Review D, Vol. 73, Issue 2
Wong’s equations and the small effective action in QCD
journal, January 2001
- Jalilian-Marian, Jamal; Jeon, Sangyong; Venugopalan, Raju
- Physical Review D, Vol. 63, Issue 3
Electroweak baryon number non-conservation in the early Universe and in high-energy collisions [Электрослабое несохранение барионного числа в ранней Вселенной и в столкновениях частиц при высоких энергиях]
journal, January 1996
- Rubakov, Valerii A.; Shaposhnikov, Mikhail E.
- Uspekhi Fizicheskih Nauk, Vol. 166, Issue 5
Non-Abelian chiral instabilities at high temperature on the lattice
journal, March 2016
- Akamatsu, Yukinao; Rothkopf, Alexander; Yamamoto, Naoki
- Journal of High Energy Physics, Vol. 2016, Issue 3
Pair production at strong coupling in weak external fields
journal, April 1982
- Affleck, Ian K.; Alvarez, Orlando; Manton, Nicholas S.
- Nuclear Physics B, Vol. 197, Issue 3
Worldline instantons and the fluctuation prefactor
journal, March 2006
- Dunne, Gerald V.; Wang, Qing-hai; Gies, Holger
- Physical Review D, Vol. 73, Issue 6
On Gauge Invariance and Vacuum Polarization
journal, June 1951
- Schwinger, Julian
- Physical Review, Vol. 82, Issue 5
Classical scalar and spinning particles interacting with external Yang-Mills fields
journal, June 1977
- Barducci, A.; Casalbuoni, R.; Lusanna, L.
- Nuclear Physics B, Vol. 124, Issue 1
Worldline instantons and pair production in inhomogenous fields
journal, November 2005
- Dunne, Gerald V.; Schubert, Christian
- Physical Review D, Vol. 72, Issue 10
Collisions in Chiral Kinetic Theory
journal, July 2015
- Chen, Jing-Yuan; Son, Dam T.; Stephanov, Mikhail A.
- Physical Review Letters, Vol. 115, Issue 2
Topology and saddle points in field theories
journal, April 1984
- Forgács, P.; Horváth, Z.
- Physics Letters B, Vol. 138, Issue 5-6
Parametric estimate of the relative photon yields from the glasma and the quark-gluon plasma in heavy-ion collisions
journal, May 2017
- Berges, Jürgen; Reygers, Klaus; Tanji, Naoto
- Physical Review C, Vol. 95, Issue 5
Hydrodynamics with Triangle Anomalies
journal, November 2009
- Son, Dam T.; Surówka, Piotr
- Physical Review Letters, Vol. 103, Issue 19
Perturbative quantum field theory in the string-inspired formalism
journal, December 2001
- Schubert, Christian
- Physics Reports, Vol. 355, Issue 2-3
Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
journal, February 1970
- Wong, S. K.
- Il Nuovo Cimento A, Vol. 65, Issue 4
Classical description of a particle interacting with a non-Abelian gauge field
journal, April 1977
- Balachandran, A. P.; Salomonson, Per; Skagerstam, Bo-Sture
- Physical Review D, Vol. 15, Issue 8
Nonperturbative methods and extended-hadron models in field theory. III. Four-dimensional non-Abelian models
journal, December 1974
- Dashen, Roger F.; Hasslacher, Brosl; Neveu, André
- Physical Review D, Vol. 10, Issue 12
Global aspects of current algebra
journal, August 1983
- Witten, Edward
- Nuclear Physics B, Vol. 223, Issue 2
Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions
journal, March 1997
- Gitman, Dmitri M.
- Nuclear Physics B, Vol. 488, Issue 1-2
Topological currents in neutron stars: kicks, precession, toroidal fields, and magnetic helicity
journal, August 2010
- Charbonneau, James; Zhitnitsky, Ariel
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 08
Chiral magnetic effect
journal, October 2008
- Fukushima, Kenji; Kharzeev, Dmitri E.; Warringa, Harmen J.
- Physical Review D, Vol. 78, Issue 7
Dimensional regularization of nonlinear sigma models on a finite time interval
journal, November 2000
- Bastianelli, F.; Corradini, O.; van Nieuwenhuizen, P.
- Physics Letters B, Vol. 494, Issue 1-2
Relativistic chiral kinetic theory from quantum field theories
journal, May 2017
- Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun
- Physical Review D, Vol. 95, Issue 9
Anomalous Ward Identities in Spinor Field Theories
journal, August 1969
- Bardeen, William A.
- Physical Review, Vol. 184, Issue 5
Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
journal, May 2014
- Chen, Jiunn-Wei; Pang, Jin-yi; Pu, Shi
- Physical Review D, Vol. 89, Issue 9
Minding one’s P’s and Q’s: From the one loop effective action in quantum field theory to classical transport theory
journal, July 2000
- Jalilian-Marian, Jamal; Jeon, Sangyong; Venugopalan, Raju
- Physical Review D, Vol. 62, Issue 4
Can Nuclear Interactions Be Long Ranged?
journal, January 1983
- Boguta, J.
- Physical Review Letters, Vol. 50, Issue 3
Violation of CP in variance, C asymmetry, and baryon asymmetry of the universe
journal, May 1991
- Sakharov, Andrei D.
- Soviet Physics Uspekhi, Vol. 34, Issue 5
Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
journal, October 2015
- Manuel, Cristina; Torres-Rincon, Juan M.
- Physical Review D, Vol. 92, Issue 7
Coherent States of Fermi Operators and the Path Integral
journal, August 1978
- Ohnuki, Y.; Kashiwa, T.
- Progress of Theoretical Physics, Vol. 60, Issue 2
Axial couplings on the world-line
journal, January 1996
- Mondragón, Myriam; Nellen, Lukas; Schmidt, Michael G.
- Physics Letters B, Vol. 366, Issue 1-4
Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984
- Berry, M. V.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
Canonical Approach to Spinning Particles
journal, July 1979
- Naka, S.
- Progress of Theoretical Physics, Vol. 62, Issue 1
Chiral Magnetic Effect and Anomalous Transport from Real-Time Lattice Simulations
journal, September 2016
- Müller, Niklas; Schlichting, Sören; Sharma, Sayantan
- Physical Review Letters, Vol. 117, Issue 14
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
journal, December 1983
- Simon, Barry
- Physical Review Letters, Vol. 51, Issue 24
Yukawa couplings for the spinning particle and the world-line formalism
journal, May 1995
- Mondragón, Myriam; Nellen, Lukas; Schmidt, Michael G.
- Physics Letters B, Vol. 351, Issue 1-3
Erratum: Path integral for gauge theories with fermions
journal, September 1980
- Fujikawa, Kazuo
- Physical Review D, Vol. 22, Issue 6
Chiral Kinetic Theory
journal, October 2012
- Stephanov, M. A.; Yin, Y.
- Physical Review Letters, Vol. 109, Issue 16
Born-Oppenheimer approximation and the origin of Wess-Zumino terms: Some quantum-mechanical examples
journal, February 1986
- Stone, Michael
- Physical Review D, Vol. 33, Issue 4
Nonequilibrium study of the chiral magnetic effect from real-time simulations with dynamical fermions
journal, February 2017
- Mace, Mark; Mueller, Niklas; Schlichting, Sören
- Physical Review D, Vol. 95, Issue 3
Gravitational anomalies
journal, April 1984
- Alvarez-Gaumé, Luis; Witten, Edward
- Nuclear Physics B, Vol. 234, Issue 2
Progress in Electroweak Baryogenesis
journal, December 1993
- Cohen, A. G.; Kaplan, D. B.; Nelson, A. E.
- Annual Review of Nuclear and Particle Science, Vol. 43, Issue 1
Hydrodynamics with chiral anomaly and charge separation in relativistic heavy ion collisions
journal, May 2016
- Yin, Yi; Liao, Jinfeng
- Physics Letters B, Vol. 756
Magnetohydrodynamics, charged currents, and directed flow in heavy ion collisions
journal, May 2014
- Gürsoy, Umut; Kharzeev, Dmitri; Rajagopal, Krishna
- Physical Review C, Vol. 89, Issue 5
Possible classical solutions in the Weinberg-Salam model
journal, June 1980
- Soni, Vikram
- Physics Letters B, Vol. 93, Issue 1-2
Consistent and covariant anomalies in gauge and gravitational theories
journal, October 1984
- Bardeen, William A.; Zumino, Bruno
- Nuclear Physics B, Vol. 244, Issue 2
Classical version of the non-Abelian gauge anomaly
journal, August 2013
- Stone, Michael; Dwivedi, Vatsal
- Physical Review D, Vol. 88, Issue 4
Anomalous transport model study of chiral magnetic effects in heavy ion collisions
journal, October 2016
- Sun, Yifeng; Ko, Che Ming; Li, Feng
- Physical Review C, Vol. 94, Issue 4
Lagrangian and Hamiltonian descriptions of Yang-Mills particles
journal, June 1978
- Balachandran, A. P.; Borchardt, S.; Stern, A.
- Physical Review D, Vol. 17, Issue 12
Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994
- McLerran, Larry; Venugopalan, Raju
- Physical Review D, Vol. 49, Issue 7
Geometric phases and hidden local gauge symmetry
journal, July 2005
- Fujikawa, Kazuo
- Physical Review D, Vol. 72, Issue 2
Violation of <i>CP</i> in variance, <i>C</i> asymmetry, and baryon asymmetry of the universe [Нарушение CP-инвариантности. C-асимметрия и барионная асимметрия Вселенной]
journal, January 1991
- Sakharov, Andrei D.
- Uspekhi Fizicheskih Nauk, Vol. 161, Issue 5
Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
journal, April 2014
- Berges, J.; Boguslavski, K.; Schlichting, S.
- Physical Review D, Vol. 89, Issue 7
Estimate of the Magnetic Field Strength in Heavy-Ion Collisions
journal, December 2009
- Skokov, V. V.; Illarionov, A. Yu.; Toneev, V. D.
- International Journal of Modern Physics A, Vol. 24, Issue 31
Chiral magnetic and vortical effects in high-energy nuclear collisions—A status report
journal, May 2016
- Kharzeev, D. E.; Liao, J.; Voloshin, S. A.
- Progress in Particle and Nuclear Physics, Vol. 88
Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959
- Bargmann, V.; Michel, Louis; Telegdi, V. L.
- Physical Review Letters, Vol. 2, Issue 10
Off-equilibrium sphaleron transitions in the glasma
journal, April 2016
- Mace, Mark; Schlichting, Sören; Venugopalan, Raju
- Physical Review D, Vol. 93, Issue 7
Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
journal, November 1950
- Feynman, R. P.
- Physical Review, Vol. 80, Issue 3
Status of the chiral magnetic effect and collisions of isobars
journal, June 2017
- Koch, Volker; Schlichting, Soeren; Skokov, Vladimir
- Chinese Physics C, Vol. 41, Issue 7
Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions
journal, October 2015
- Kurkela, Aleksi; Zhu, Yan
- Physical Review Letters, Vol. 115, Issue 18
Electroweak baryon number non-conservation in the early Universe and in high-energy collisions
journal, May 1996
- Rubakov, Valerii A.; Shaposhnikov, M. E.
- Physics-Uspekhi, Vol. 39, Issue 5
Lorentz Invariance in Chiral Kinetic Theory
journal, October 2014
- Chen, Jing-Yuan; Son, Dam T.; Stephanov, Mikhail A.
- Physical Review Letters, Vol. 113, Issue 18
Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
journal, November 2014
- Karabali, Dimitra; Nair, V. P.
- Physical Review D, Vol. 90, Issue 10
Particle spin dynamics as the grassmann variant of classical mechanics
journal, April 1977
- Berezin, F. A.; Marinov, M. S.
- Annals of Physics, Vol. 104, Issue 2
Effective dynamics of soft non-Abelian gauge fields at finite temperature
journal, May 1998
- Bödeker, Dietrich
- Physics Letters B, Vol. 426, Issue 3-4
Chiral Langevin theory for non-Abelian plasmas
journal, December 2014
- Akamatsu, Yukinao; Yamamoto, Naoki
- Physical Review D, Vol. 90, Issue 12
First-principle calculations of the Berry curvature of Bloch states for charge and spin transport of electrons
journal, May 2012
- Gradhand, M.; Fedorov, D. V.; Pientka, F.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 21
Second-quantized formulation of geometric phases
journal, July 2005
- Deguchi, Shinichi; Fujikawa, Kazuo
- Physical Review A, Vol. 72, Issue 1
Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
journal, November 2012
- Son, Dam Thanh; Yamamoto, Naoki
- Physical Review Letters, Vol. 109, Issue 18
Berry phase, Lorentz covariance, and anomalous velocity for Dirac and Weyl particles
journal, January 2015
- Stone, Michael; Dwivedi, Vatsal; Zhou, Tianci
- Physical Review D, Vol. 91, Issue 2
Effective transport equations for non-Abelian plasmas
journal, November 1999
- Litim, Daniel F.; Manuel, Cristina
- Nuclear Physics B, Vol. 562, Issue 1-2
Path-Integral Measure for Gauge-Invariant Fermion Theories
journal, April 1979
- Fujikawa, Kazuo
- Physical Review Letters, Vol. 42, Issue 18
A saddle-point solution in the Weinberg-Salam theory
journal, November 1984
- Klinkhamer, F. R.; Manton, N. S.
- Physical Review D, Vol. 30, Issue 10
Euclidean Continuation of the Dirac Fermion
journal, January 1991
- Mehta, Mayank
- Physical Review Letters, Vol. 66, Issue 4
Consequences of anomalous ward identities
journal, November 1971
- Wess, J.; Zumino, B.
- Physics Letters B, Vol. 37, Issue 1
The computation of loop amplitudes in gauge theories
journal, July 1992
- Bern, Zvi; Kosower, David A.
- Nuclear Physics B, Vol. 379, Issue 3
Worldline path integrals for fermions with scalar, pseudoscalar and vector couplings
journal, May 1996
- D'Hoker, Eric; Gagné, Darius G.
- Nuclear Physics B, Vol. 467, Issue 1-2
The effects of topological charge change in heavy ion collisions: “Event by event and violation”
journal, May 2008
- Kharzeev, Dmitri E.; McLerran, Larry D.; Warringa, Harmen J.
- Nuclear Physics A, Vol. 803, Issue 3-4
From hard thermal loops to Langevin dynamics
journal, October 1999
- Bödeker, Dietrich
- Nuclear Physics B, Vol. 559, Issue 1-2
R ECENT P ROGRESS IN B ARYOGENESIS
journal, December 1999
- Riotto, Antonio; Trodden, Mark
- Annual Review of Nuclear and Particle Science, Vol. 49, Issue 1
Sizable CP violation in the bosonized Standard Model
journal, May 2009
- Hernandez, Andres; Konstandin, Thomas; Schmidt, Michael G.
- Nuclear Physics B, Vol. 812, Issue 1-2
Fluids, anomalies, and the chiral magnetic effect: A group-theoretic formulation
journal, July 2012
- Nair, V. P.; Ray, Rashmi; Roy, Shubho
- Physical Review D, Vol. 86, Issue 2
A Lagrangian formulation of the classical and quantum dynamics of spinning particles
journal, January 1977
- Brink, L.; Di Vecchia, P.; Howe, P.
- Nuclear Physics B, Vol. 118, Issue 1-2
One-loop n-point gauge theory amplitudes, unitarity and collinear limits
journal, August 1994
- Bern, Zvi; Dixon, Lance; Dunbar, David C.
- Nuclear Physics B, Vol. 425, Issue 1-2
Euclidean continuation of the Dirac fermion
journal, October 1990
- Mehta, Mayank R.
- Physical Review Letters, Vol. 65, Issue 16
Quantization of a spinning particle in an arbitrary background
journal, July 2001
- Gavrilov, S. P.; Gitman, D. M.
- Classical and Quantum Gravity, Vol. 18, Issue 15
Chiral magnetic effect in ZrTe5
journal, February 2016
- Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng
- Nature Physics, Vol. 12, Issue 6
Nonconservation of lepton current and asymmetry of relic neutrinos
journal, May 2017
- Dvornikov, M. S.; Semikoz, V. B.
- Journal of Experimental and Theoretical Physics, Vol. 124, Issue 5
Transient anomalous charge production in strong-field QCD
journal, April 2016
- Tanji, Naoto; Mueller, Niklas; Berges, Jürgen
- Physical Review D, Vol. 93, Issue 7
Pseudoclassical description of relativistic spinning particles with anomalous magnetic moment
journal, December 1982
- Barducci, A.
- Physics Letters B, Vol. 118, Issue 1-3
Kinetic theory with Berry curvature from quantum field theories
journal, April 2013
- Son, Dam Thanh; Yamamoto, Naoki
- Physical Review D, Vol. 87, Issue 8
Classical chiral kinetic theory and anomalies in even space-time dimensions
journal, December 2013
- Dwivedi, Vatsal; Stone, Michael
- Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 2
Works referencing / citing this record:
Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
journal, June 2019
- Siddique, Irfan; Wang, Ren-jie; Pu, Shi
- Physical Review D, Vol. 99, Issue 11
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019
- Hongo, Masaru; Hidaka, Yoshimasa
- Particles, Vol. 2, Issue 2
Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
journal, June 2019
- Siddique, Irfan; Wang, Ren-jie; Pu, Shi
- Physical Review D, Vol. 99, Issue 11
Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism
journal, May 2019
- Hongo, Masaru; Hidaka, Yoshimasa
- Particles, Vol. 2, Issue 2